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Finding the Fourth Proportional to 826.60, 1,239.52 and 249.52

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Solution

The fourth proportional to 826.60, 1,239.52 and 249.52 is: 374.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.60 : 1,239.52 = 249.52 : x
  2. Step 2: Convert to fraction form
    826.60/1,239.52 = 249.52/x
  3. Step 3: Cross multiply
    826.60x = 1,239.52 × 249.52
  4. Step 4: Simplify right side
    826.60x = 309,285.03
  5. Step 5: Solve for x
    x = 309,285.03/826.60
  6. Step 6: Final answer
    x = 374.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.